
Rectangle tangle
The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

The moons of Vuvv
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

Plenty of pens
Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

First connect three
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?



Round the four dice
This activity involves rounding four-digit numbers to the nearest thousand.

Round the three dice
What happens when you round these three-digit numbers to the nearest 100?


Dicey perimeter, dicey area

Round and round the circle
What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

Making cuboids
Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

Mystery matrix
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

Factor lines
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Orange drink
A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

Factor-multiple chains
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

Doughnut percents
Can you work as a team to make doughnuts by matching these fractions, decimals and percentages?


Different deductions
There are lots of different methods to find out what the shapes are worth - how many can you find?

Two and two
How many solutions can you find to this sum? Each of the different letters stands for a different number.

Quadrilaterals
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Ten hidden squares
These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

Triangles all around
Can you find all the different triangles on these peg boards, and find their angles?